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Finding the Third Proportional to 4,710.97 and 10,195.56

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Solution

The third proportional to 4,710.97 and 10,195.56 is: 22,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.97 : 10,195.56 = 10,195.56 : x
  2. Step 2: Convert to fraction form
    4,710.97/10,195.56 = 10,195.56/x
  3. Step 3: Cross multiply
    4,710.97x = 10,195.56 × 10,195.56
  4. Step 4: Simplify right side
    4,710.97x = 103,949,415.04
  5. Step 5: Solve for x
    x = 103,949,415.04/4,710.97
  6. Step 6: Final answer
    x = 22,065.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.